1. Edward C. Jordan Memorial Offering of the First Course under the Indo-US Inter-University Collaborative Initiative in Higher Education and Research: Electromagnetics for Electrical and Computer Engineering by Nannapaneni Narayana Rao Edward C. Jordan Professor of Electrical and Computer Engineering University of Illinois at Urbana-Champaign Urbana, Illinois, USA Amrita Viswa Vidya Peetham, Coimbatore July 10 – August 11, 2006

2. 6.1 Transmission Line

3. 6.1-2 Parallel-Plate Line Neglect fringing (d << w).

4. 6.1-3

5. 6.1-4

6. 6.1-5

7. 6.1-6 Consider the circuit

8. 6.1-7 Then Transmission Line Equations

9. 6.1-8 Transverse Electromagnetic (TEM) Waves

10. 6.1-9 Distributed Equivalent Circuit Assumes perfect conductors but lossy dielectric.

11. 6.1-10 Transmission-Line Equations L = Inductance per unit length (H/m) C = Capacitance per unit length (F/m) G = Conductance per unit length (S/m)

12. 6.1-11 In general, conductors are also lossy. Then, the waves are not exactly TEM waves. R = Resistance per unit length (  /m)

13. 6.1-12 Lossless Line (Perfect Conductors, Perfect Dielectric) Wave Equation Combining, we obtain

14. 6.1-13 Solution:

15. 6.1-14

16. 6.1-15 Thus

17. 6.1-16 Parallel-Plate Line

18. 6.1-17 Coaxial Cable

19. 6.1-18 Parallel-Wire Line

20. 6.1-19 Parallel-Strip Line (d/w  1) imbedded in a homogeneous medium

21. 6.1-20 Microstrip Line

22. 6.1-21 Shielded Strip Line